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» Total Domination and Matching Numbers in Claw-Free Graphs
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COMBINATORICA
2007
81views more  COMBINATORICA 2007»
13 years 7 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
DM
2006
104views more  DM 2006»
13 years 7 months ago
Construction of trees and graphs with equal domination parameters
We provide a simple constructive characterization for trees with equal domination and independent domination numbers, and for trees with equal domination and total domination numb...
Michael Dorfling, Wayne Goddard, Michael A. Hennin...
DAM
1999
119views more  DAM 1999»
13 years 7 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove
FCS
2009
13 years 5 months ago
Domination and Independence on the Rectangular Torus by Rooks and Bishops
A set S V is a dominating set of a graph G = (V; E) if each vertex in V is either in S or is adjacent to a vertex in S. A vertex is said to dominate itself and all its neighbors. ...
Joe DeMaio, William Faust